Six Sigma refers to achieving a process variability so small that the design specifications represent ___ standard deviations above and below the process mean.

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Work Shown:

A = P*(1+r/n)^(n*t)

A = 8200*(1+0.02/1)^(1*7)

A = 9419.2224747241

A = 9419.22

Note: I assumed the bank is using annual compounding. The instructions didn't mention it, so that's why I went with n = 1. If your teacher or textbook mention otherwise, say monthly compounding, then you'll change n to n = 12. I would ask for clarification.

Answer:

y=x-1

Step-by-step explanation:

Answer:

y=x1

Step-by-step explanation:

Answer: There are 57 quarters and 33 dimes.

Step-by-step explanation:

let x = Number of quarters

y= Number of dimes

As per given , we have

x+y = 90  (i)

0.25x+0.10y= 17.55  (ii)

Multiply 10 on both sides of (ii)

2.5x+y= 175.5    (iii)

Eliminate (i) from (iii) , we get

1.5x = 85.5

⇒ x= 57

Put value of x in (i) , we get

57+y=90

⇒  y= 90-57

⇒  y= 33

Hence, there are 57 quarters and 33 dimes.

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Work Shown:

L = 165000 = loan amount or amount financed

r = 0.06725  = annual interest rate in decimal form

i = r/12 = 0.06725/12 = 0.005604167

i = 0.005604167 = approximate monthly interest rate in decimal form

n = number of months = 30*12 = 360 months

P = unknown monthly payment

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Apply the monthly payment formula

P = (L*i)/( 1-(1+i)^(-n) )

P = (165000*0.005604167)/(1-(1+0.005604167)^(-360))

P = 1067.44636311118

P = 1067.45

Answer:

there are 2 in each vase

Answer:

2 flowers per vase

Answer:

B

Step-by-step explanation:

Answer:

4.83 * 10^9

Step-by-step explanation:

Here, we want to express the given number in scientific notation

What we have to do here is to place the decimal number at the back of the first non zero number

The first non zero number is 4

So

let us count the number of digits after the first non zero number

That will be 9

So we make this the power of 10

And our answer will be;

4.83 *10^9

Answer:

use the formula y2 - y1 / x2 - x1

Answer:

y2-y1 /x2-x1

Step-by-step explanation:

slope is the same as gradient

follow this principle (x,y)

Gradient (m) =y2-y1 /x2-x1

Answer:

a) The exponential growth function

P(t) = 5,690,000(1.0287)^t

b) 6,742,868.7374 million

c) 12.04 years

d) 2439.0243902

Step-by-step explanation:

In​ 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87​% per year. ​

The formula for exponential growth is given as:

P(t) = Po( 1 + r) ^t

Where P = Population size after time t

Po = Initial population size

r = Growth rate in percentage

t= time in years

a) Find the exponential growth function.

P(t) = Population size after time t

Po = Initial population size = 5.69 million

r = Growth rate in percentage = 2.87% = 0.0287

t= time in years

The Exponential growth function

P(t) = 5,690,000(1 + 0.0287)^t

P(t) = 5,690,000(1.0287)^t

​b) Estimate the population of the city in 2018. ​

From 2012 to 2018 = 6 years

t = 6 years

Hence,

P(t) = Po( 1 + r) ^t

P(t) = 5,690,000(1 + 0.0287)^6

P(t) = 5,690,000(1.0287)^6

P(t) = 6,742,868.7374 million

c) When will the population of the city be ​8 million?

P(t) = 8,000,000

P(t) = Po( 1 + r) ^t

P(t) = 5,690,000(1 + 0.0287)^t

8,000,000 = 5,690,000(1 + 0.0287)^t

8,000,000 = 5,690,000(1.0287)^t

Divide both sides by 5,690,000

8,000,00/5,690,000 = 5,690,000(1.0287)^t/5,690,000

= 1.4059753954 = 1.0287^t

Take logarithm of both sides

log 1.4059753954 = log 1.0287^t

Log 1.4059753954 =t Log 1.0287

t = Log 1.4059753954/Log 1.0287

t = 12.041740264

t = 12.04 years

​d) Find the doubling time.

The formula is given as 70/Growth rate

= 70/0.0287

= 2439.0243902

G and H are 5 units apart.

G is at (-3, -4), and H is at (2, -4)

-3 and 2 are 5 units apart, -3+5=2. 2-5=-3

Answer:

The probability is 30/182

Step-by-step explanation:

The total number of people to select from is

8 + 4 + 2 = 14

We want to select two who are not democrats

Probability of selecting first one who is not a democrat will be 6/14

Probability of selecting a second who is not a democrat will be 5/13

So the probability of the two not being democrats will be 6/14 * 5/13 = 30/182

Answer:

[tex]d=4\sqrt{5}[/tex]

Step-by-step explanation:

Write down both endpoint coordinate points:

[tex](-5,-3)(-1,5)[/tex]

Use the distance formula:

[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2} \\\\(x_{1},y_{1})(x_{2},y_{2})[/tex]

Insert values:

[tex]d=\sqrt{(-1-(-5))^2+(5-(-3))^2} \\\\d=\sqrt{(-1+5)^2+(5+3)^2}[/tex]

Simplify parentheses:

[tex]d=\sqrt{(4)^2+(8)^2}[/tex]

Simplify exponents:

[tex]d=\sqrt{16+64}[/tex]

Add:

[tex]d=\sqrt{80}[/tex]

Find the square root. Find multiples of 80 that are perfect squares:

[tex]16*5=80\\\\\sqrt{16*5}\\\\\sqrt{16}*\sqrt{5} \\\\[/tex]

[tex]d=4\sqrt{5}\\\\d=8.94427190...[/tex]

:Done

Answer: I think it would be 112.

Step-by-step explanation:

hahahahahahahahahahaha

srsly tho

is this still a problem you have? if so ill solve it.

Answer:

34.06=20+0.19m

Step-by-step explanation:

The 20 dollars is a one-time thing so we don't need a variable for that. The 0.19 per mile does because the cost will depend on how many miles you drove (I used the variable 'm' but you could use a different letter). Altogether the bill costs 34.06 so that will go on the opposite side of our equal side.

34.06=20+0.19m

First we need to isolate 0.19m to find the number of miles the customer drove, and we can do that by subtracting 20 on each side.

34.06-20=20-20+0.19m

14.06=0.19m

Now we divide 0.19 because 0.19 is multiplied to m and division is the opposite operation

m=74

This means that the customer drove 74 miles.

Answer:

Yes, Nadhii and Dylan agree

Step-by-step explanation:

You created a new playlist, and 100 of your friends listened to it and shared if they liked the new playlist or not. Nadhii said the ratio of the number of people who liked the playlist to the number of people who did not like the playlist is 75: 25. Dylan said that for every three people who liked the playlist, one person did not.

Do Nadhii and Dylan agree? Prove your answer using the values of the ratios.

Total number of friends who listened = 100

Nadhii said the ratio of the number of people who liked the playlist to the number of people who did not like the playlist is 75: 25.

Nadhii

Number of people who liked the playlist : Number of people who did not like the playlist

= 75 : 25

= 75 / 25

= 3/1

= 3 : 1

Dylan said that three people who liked the playlist, one person did not.

Number of people who liked the playlist : Number of people who did not like the playlist

= 3 : 1

Yes, Nadhii and Dylan agree

Answer:

12 because 12/15 =.8 so does 8/10

Answer:

w=12

Step-by-step explanation:

8/10 is equal to 4/5. 4/5 is equal to 12/15. Therefore, W represents 12.

Brainliest are always appreciated :)

Answer:

C. Obtuse

Step-by-step explanation:

Answer:

$850

Step-by-step explanation:

35 x 20 = 700 + 150 = $850 or 850

$20 per person and 35 people = $700 + the $150 fee = $850

Answer:

Let's solve your inequality step-by-step.

3600+1.02x<2000+1.04x

Step 1: Simplify both sides of the inequality.

1.02x+3600<1.04x+2000

Step 2: Subtract 1.04x from both sides.

1.02x+3600−1.04x<1.04x+2000−1.04x

−0.02x+3600<2000

Step 3: Subtract 3600 from both sides.

−0.02x+3600−3600<2000−3600

−0.02x<−1600

Step 4: Divide both sides by -0.02.

−0.02x

−0.02

<

−1600

−0.02

x>80000

Step-by-step explanation:

The coefficient(s) of the expression is/are 7, 1

Use a comma to separate answers as needed.)

The constant(s) of the expression is/are 8

(Use a comma to separate answers as needed.)

What error might Jake have made?

OD. Jake did not include the coefficient 1.

Click to select your answer's

Answer:

-1

Step-by-step explanation:

1. Substitute n with 6 because n=6

2. Then you simply solve both sides so (6-6)-(5-6) because n=6

3.so then you get the absolute value of 0 subtracted by the absolute values of -1

4. So because all absolute values change it to positive you get 0-1 instead of 0- - 1

5. So the final answer is -1

Sorry if this was confusing, I’m really bad at explaining. :)

Answer:

|n-6|-|5-n|

=|6-6|-|5-6|

=|0|-|-1|

=0-1

=-1

Answer: No. The two frames does not have the same ratio of white shells to orange shells.

Step-by-step explanation:

Ryan glued 9 white shells and 15 orange shells to the border of his frame. This will give us a fraction of:

9/15 = 3/5

The ratio is 3:5

Russell glued 8 white shells and 10 orange shells to the border of his frame. This will give us a fraction of:

= 8/10 = 4/5

The ratio will be 4:5.

Therefore, the two frames does not have the same ratio of white shells to orange shells.

Answer:

Domain:(−∞,∞),{x|x∈R}

Step-by-step explanation:

Answer:

x = 9.

Step-by-step explanation:

If you meant (x + 13) = 24, then we first must subtract 24 by 13.

24 - 13 = 9

Now, check your work by replacing the "x" with 9.

(9+ 13) = 24

24 = 24 <----- This is a true statement.

Therefore, x = 9.

Hope this helps! :D

Here we have been clearly given with Principal, time period and rate of interest.

We have to calculate the simple Interest.

As we know that simple Interest is calculated by the formula :

Where,

Putting the values :

[tex]: \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times 10 \times 4}{100}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times \cancel{10} \times 4}{ \cancel{100}}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times 1 \times 4}{10}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times 4}{10}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{ \cancel{125} \times 4}{ \cancel{10}}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{{25} \times 4}{ 2}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{{25} \times \cancel{4}}{ \cancel2}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{{25} \times 2}{1}} \\ \\ : \: \implies \: \sf{S.I. \: = \: 25 \times 2} \\ \\ : \: \implies \: \red{\bf{S.I. \: = \: 50}} [/tex]

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Answer:

C

Step-by-step explanation: